Answer: 96 Televisions, 68 DVD burners
<u>Step-by-step explanation:</u>
Let T represent the quantity of televisions
Let D represent the quantity of DVD burners
<u>Given:</u>
value of television (T) = 360
value of DVD burners (D) = 270
Total value = 52,920
<u>Equations:</u>
Value: 360T + 270D = 52,920
Quantity: T + D = 164
We can solve the system of equations using the Elimination Method:
-1(360T + 270D = 52,920) → -360T - 270D = -52,920
360(T + D = 164) → <u>360T + 360D</u> = <u>59,040 </u>
90D = 6,120
<u> ÷90 </u> <u> ÷90 </u>
D = 68
Input the value of D into one of the equations to solve for T
T + D = 164
T + 68 = 164
T = 96